On Stressed State of Transversely Isotropic Medium with an Arbitrarily Oriented Spheroidal Void or Penny-Shaped Crack under Internal Pressure

2005 ◽  
Vol 37 (5) ◽  
pp. 480-488 ◽  
Author(s):  
V. S. Kirilyuk ◽  
O. I. Levchuk
Keyword(s):  
Stressed State ◽  
Internal Pressure ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Transversely Isotropic Medium ◽  
Penny Shaped Crack ◽  
Shaped Crack

Indentation of a Penny-Shaped Crack by an Oblate Spheroidal Rigid Inclusion in a Transversely Isotropic Medium

1984 ◽  
Vol 51 (4) ◽  
pp. 811-815 ◽  
Author(s):  
Y. M. Tsai
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Contact Stress ◽  
Rigid Inclusion ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Transversely Isotropic Medium ◽  
Penny Shaped Crack ◽  
Shaped Crack

The stress distribution produced by the identation of a penny-shaped crack by an oblate smooth spheroidal rigid inclusion in a transversely isotropic medium is investigated using the method of Hankel transforms. This three-part mixed boundary value problem is solved using the techniques of triple integral equations. The normal contact stress between the crack surface and the indenter is written as the product of the associated half-space contact stress and a nondimensional crack-effect correction function. An exact expression for the stress-intensity is obtained as the product of a dimensional quantity and a nondimensional function. The curves for these nondimensional functions are presented and used to determine the values of the normalized stress-intensity factor and the normalized maximum contact stress. The stress-intensity factor is shown to be dependent on the material constants and increasing with increasing indentation. The stress-intensity factor also increases if the radius of curvature of the indenter surface increases.

Thermal Stress in a Transversely Isotropic Medium Containing a Penny-Shaped Crack

1983 ◽  
Vol 50 (1) ◽  
pp. 24-28 ◽  
Author(s):  
Y. M. Tsai
Keyword(s):  
Thermal Stress ◽  
Material Properties ◽  
Isotropic Medium ◽  
Thermal Stresses ◽  
Transversely Isotropic ◽  
Crack Plane ◽  
Intensity Factors ◽  
Transversely Isotropic Medium ◽  
Penny Shaped Crack ◽  
Shaped Crack

The thermal stress problem for a penny-shaped crack contained in a transversely isotropic medium is investigated using the techniques of Hankel transforms and double integrations. Symmetrical thermal loadings are applied over the crack surfaces. For constant temperature and heat flux over the crack surfaces, expressions for the crack shapes and the thermal stresses in the crack plane are obtained in closed forms. The stress intensity factors are also obtained and shown to be dependent on the material properties.

Note on a Thermoelastic Problem for a Transversely Isotropic Hollow Sphere Embedded in an Elastic Medium

1959 ◽  
Vol 26 (4) ◽  
pp. 649-650
Author(s):  
J. Nowinski
Keyword(s):  
Temperature Field ◽  
Steady State ◽  
Internal Pressure ◽  
Elastic Medium ◽  
Hollow Sphere ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Thermoelastic Problem ◽  
Transversely Isotropic Medium

Abstract This note concerns a hollow sphere composed of two different transversely isotropic layers and subjected to an internal pressure and a steady-state, spherically symmetrical temperature field. The sphere is surrounded by an elastic medium treated as a Winkler material or transversely isotropic medium, respectively.

A penny-shaped crack in a transversely isotropic piezoelectric layer

2001 ◽  
Vol 20 (6) ◽  
pp. 997-1005 ◽  
Author(s):  
Bao-Lin Wang ◽  
Naotake Noda ◽  
Jie-Cai Han ◽  
Shan-Yi Du
Keyword(s):  
Piezoelectric Layer ◽  
Transversely Isotropic ◽  
Penny Shaped Crack ◽  
Shaped Crack

Near-Tip Fields for Penny-Shaped Cracks in Magnetoelectroelastic Media

2006 ◽  
Vol 312 ◽  
pp. 41-46 ◽  
Author(s):  
Bao Lin Wang ◽  
Yiu Wing Mai
Keyword(s):  
Closed Form ◽  
Transversely Isotropic ◽  
Crack Plane ◽  
Axially Symmetric ◽  
Crack Configuration ◽  
Penny Shaped Crack ◽  
Electric And Magnetic Fields ◽  
Shaped Crack ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

This paper solves the penny-shaped crack configuration in transversely isotropic solids with coupled magneto-electro-elastic properties. The crack plane is coincident with the plane of symmetry such that the resulting elastic, electric and magnetic fields are axially symmetric. The mechanical, electrical and magnetical loads are considered separately. Closed-form expressions for the stresses, electric displacements, and magnetic inductions near the crack frontier are given.

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